31451249025 has 135 divisors (see below), whose sum is σ = 67890778131. Its totient is φ = 14352176160.

The previous prime is 31451248991. The next prime is 31451249033. The reversal of 31451249025 is 52094215413.

The square root of 31451249025 is 177345.

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

31451249025 is a `hidden beast` number, since 3 + 145 + 1 + 2 + 490 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11322449649 + 20128799376 = 106407^2 + 141876^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 31451249025 - 2⁹ = 31451248513 is a prime.

It is a super-3 number, since 3×31451249025³ (a number of 32 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 55863394 + ... + 55863956.

Almost surely, 2^31451249025 is an apocalyptic number.

31451249025 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

31451249025 is the 177345-th square number.

31451249025 is the 88673-rd centered octagonal number.

It is an amenable number.

31451249025 is an abundant number, since it is smaller than the sum of its proper divisors (36439529106).

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

31451249025 is an frugal number, since it uses more digits than its factorization.

31451249025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1162 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Multiplying 31451249025 by its sum of digits (36), we get a square (1132244964900 = 1064070²).

The spelling of 31451249025 in words is "thirty-one billion, four hundred fifty-one million, two hundred forty-nine thousand, twenty-five".