1353531630 has 64 divisors (see below), whose sum is σ = 3586560768. Its totient is φ = 324168960.

The previous prime is 1353531629. The next prime is 1353531631. The reversal of 1353531630 is 361353531.

It is an interprime number because it is at equal distance from previous prime (1353531629) and next prime (1353531631).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1353531631) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2682 + ... + 52098.

It is an arithmetic number, because the mean of its divisors is an integer number (56040012).

Almost surely, 2^1353531630 is an apocalyptic number.

1353531630 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 1353531630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1793280384).

1353531630 is an abundant number, since it is smaller than the sum of its proper divisors (2233029138).

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

1353531630 is a wasteful number, since it uses less digits than its factorization.

1353531630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49521.

The product of its (nonzero) digits is 12150, while the sum is 30.

The square root of 1353531630 is about 36790.3741486819. The cubic root of 1353531630 is about 1106.1723612403.

The spelling of 1353531630 in words is "one billion, three hundred fifty-three million, five hundred thirty-one thousand, six hundred thirty".