957385928521 has 9 divisors (see below), whose sum is σ = 1052345123949. Its totient is φ = 870341059500.

The previous prime is 957385928497. The next prime is 957385928533. The reversal of 957385928521 is 125829583759.

The square root of 957385928521 is 978461.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 957385928521 - 2¹³ = 957385920329 is a prime.

It is a super-3 number, since 3×957385928521³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (957385928221) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10718596 + ... + 10807546.

Almost surely, 2^957385928521 is an apocalyptic number.

957385928521 is the 978461-st square number.

957385928521 is the 489231-st centered octagonal number.

It is an amenable number.

957385928521 is a deficient number, since it is larger than the sum of its proper divisors (94959195428).

957385928521 is an frugal number, since it uses more digits than its factorization.

957385928521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177924 (or 88962 counting only the distinct ones).

The product of its digits is 54432000, while the sum is 64.

Multiplying 957385928521 by its sum of digits (64), we get a square (61272699425344 = 7827688²).

The spelling of 957385928521 in words is "nine hundred fifty-seven billion, three hundred eighty-five million, nine hundred twenty-eight thousand, five hundred twenty-one".