1963516950 has 120 divisors (see below), whose sum is σ = 5478860640. Its totient is φ = 521380800.

The previous prime is 1963516909. The next prime is 1963517011. The reversal of 1963516950 is 596153691.

1963516950 is a `hidden beast` number, since 1 + 9 + 635 + 1 + 6 + 9 + 5 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 1963516896 and 1963516905.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1096656 + ... + 1098444.

It is an arithmetic number, because the mean of its divisors is an integer number (45657172).

Almost surely, 2^1963516950 is an apocalyptic number.

1963516950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1963516950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2739430320).

1963516950 is an abundant number, since it is smaller than the sum of its proper divisors (3515343690).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1963516950 is a wasteful number, since it uses less digits than its factorization.

1963516950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2084 (or 2070 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 45.

The square root of 1963516950 is about 44311.5893418415. The cubic root of 1963516950 is about 1252.2130290232.

It can be divided in two parts, 19635 and 16950, that added together give a triangular number (36585 = T₂₇₀).

The spelling of 1963516950 in words is "one billion, nine hundred sixty-three million, five hundred sixteen thousand, nine hundred fifty".