1957073625 has 96 divisors (see below), whose sum is σ = 3999864960. Its totient is φ = 912643200.

The previous prime is 1957073621. The next prime is 1957073639. The reversal of 1957073625 is 5263707591.

1957073625 is a `hidden beast` number, since 1 + 9 + 570 + 73 + 6 + 2 + 5 = 666.

It is not a de Polignac number, because 1957073625 - 2² = 1957073621 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (1957073621) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 274354 + ... + 281396.

It is an arithmetic number, because the mean of its divisors is an integer number (41665260).

Almost surely, 2^1957073625 is an apocalyptic number.

1957073625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1957073625 is an abundant number, since it is smaller than the sum of its proper divisors (2042791335).

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

1957073625 is a wasteful number, since it uses less digits than its factorization.

1957073625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7096 (or 7083 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The square root of 1957073625 is about 44238.8248600706. The cubic root of 1957073625 is about 1250.8418062958.

The spelling of 1957073625 in words is "one billion, nine hundred fifty-seven million, seventy-three thousand, six hundred twenty-five".