31755596401 has 27 divisors (see below), whose sum is σ = 34226433579. Its totient is φ = 29458763712.

The previous prime is 31755596399. The next prime is 31755596497. The reversal of 31755596401 is 10469555713.

The square root of 31755596401 is 178201.

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

It can be written as a sum of positive squares in only one way, i.e., 559559025 + 31196037376 = 23655^2 + 176624^2 .

It is not a de Polignac number, because 31755596401 - 2¹ = 31755596399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31755596701) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 281022921 + ... + 281023033.

Almost surely, 2^31755596401 is an apocalyptic number.

31755596401 is the 178201-st square number.

31755596401 is the 89101-st centered octagonal number.

It is an amenable number.

31755596401 is a deficient number, since it is larger than the sum of its proper divisors (2470837178).

31755596401 is an frugal number, since it uses more digits than its factorization.

31755596401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 46.

The spelling of 31755596401 in words is "thirty-one billion, seven hundred fifty-five million, five hundred ninety-six thousand, four hundred one".