1957515264 has 78 divisors (see below), whose sum is σ = 5654460266. Its totient is φ = 652492800.

The previous prime is 1957515253. The next prime is 1957515271. The reversal of 1957515264 is 4625157591.

It is a happy number.

1957515264 is a `hidden beast` number, since 1 + 9 + 575 + 15 + 2 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1882865664 + 74649600 = 43392^2 + 8640^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10314 + ... + 63414.

Almost surely, 2^1957515264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1957515264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2827230133).

1957515264 is an abundant number, since it is smaller than the sum of its proper divisors (3696945002).

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

1957515264 is an equidigital number, since it uses as much as digits as its factorization.

1957515264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53131 (or 53106 counting only the distinct ones).

The product of its digits is 378000, while the sum is 45.

The square root of 1957515264 is about 44243.8161102769. The cubic root of 1957515264 is about 1250.9358887682.

The spelling of 1957515264 in words is "one billion, nine hundred fifty-seven million, five hundred fifteen thousand, two hundred sixty-four".