31488427217025 has 45 divisors (see below), whose sum is σ = 58327919844051. Its totient is φ = 16793693174160.

The previous prime is 31488427217017. The next prime is 31488427217053. The reversal of 31488427217025 is 52071272488413.

The square root of 31488427217025 is 5611455.

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

31488427217025 is a `hidden beast` number, since 3 + 1 + 48 + 8 + 427 + 2 + 170 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11335833798129 + 20152593418896 = 3366873^2 + 4489164^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 31488427217025 - 2³ = 31488427217017 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 252453126 + ... + 252577824.

Almost surely, 2^{31488427217025} is an apocalyptic number.

31488427217025 is the 5611455-th square number.

31488427217025 is the 2805728-th centered octagonal number.

It is an amenable number.

31488427217025 is a deficient number, since it is larger than the sum of its proper divisors (26839492627026).

31488427217025 is an frugal number, since it uses more digits than its factorization.

31488427217025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249420 (or 124707 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 31488427217025 in words is "thirty-one trillion, four hundred eighty-eight billion, four hundred twenty-seven million, two hundred seventeen thousand, twenty-five".