31426425625 has 45 divisors (see below), whose sum is σ = 45727105611. Its totient is φ = 21528276000.

The previous prime is 31426425617. The next prime is 31426425637. The reversal of 31426425625 is 52652462413.

It is a happy number.

The square root of 31426425625 is 177275.

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

It can be written as a sum of positive squares in 7 ways, for example, as 29660072841 + 1766352784 = 172221^2 + 42028^2 .

It is not a de Polignac number, because 31426425625 - 2³ = 31426425617 is a prime.

It is a Duffinian number.

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, 31022619 + ... + 31023631.

Almost surely, 2^31426425625 is an apocalyptic number.

31426425625 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

31426425625 is the 177275-th square number.

31426425625 is the 88638-th centered octagonal number.

It is an amenable number.

31426425625 is a deficient number, since it is larger than the sum of its proper divisors (14300679986).

31426425625 is an frugal number, since it uses more digits than its factorization.

31426425625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2060 (or 1025 counting only the distinct ones).

The product of its digits is 345600, while the sum is 40.

It can be divided in two parts, 314264 and 25625, that added together give a square (339889 = 583²).

The spelling of 31426425625 in words is "thirty-one billion, four hundred twenty-six million, four hundred twenty-five thousand, six hundred twenty-five".