1261757952 has 640 divisors, whose sum is σ = 4949683200. Its totient is φ = 307888128.

The previous prime is 1261757951. The next prime is 1261757957. The reversal of 1261757952 is 2597571621.

1261757952 is a `hidden beast` number, since 1 + 26 + 1 + 7 + 579 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1261757898 and 1261757907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1261757951) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21385699 + ... + 21385757.

It is an arithmetic number, because the mean of its divisors is an integer number (7733880).

Almost surely, 2^1261757952 is an apocalyptic number.

1261757952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1261757952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2474841600).

1261757952 is an abundant number, since it is smaller than the sum of its proper divisors (3687925248).

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

1261757952 is a wasteful number, since it uses less digits than its factorization.

1261757952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 101 counting only the distinct ones).

The product of its digits is 264600, while the sum is 45.

The square root of 1261757952 is about 35521.2324110524. The cubic root of 1261757952 is about 1080.5843751026.

The spelling of 1261757952 in words is "one billion, two hundred sixty-one million, seven hundred fifty-seven thousand, nine hundred fifty-two".