125315292001 has 9 divisors (see below), whose sum is σ = 126949971603. Its totient is φ = 123701410560.

The previous prime is 125315291999. The next prime is 125315292049. The reversal of 125315292001 is 100292513521.

The square root of 125315292001 is 353999.

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., 98314229601 + 27001062400 = 313551^2 + 164320^2 .

It is not a de Polignac number, because 125315292001 - 2¹ = 125315291999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (125315292071) 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, 27963681 + ... + 27968161.

Almost surely, 2^125315292001 is an apocalyptic number.

125315292001 is the 353999-th square number.

125315292001 is the 177000-th centered octagonal number.

It is an amenable number.

125315292001 is a deficient number, since it is larger than the sum of its proper divisors (1634679602).

125315292001 is an frugal number, since it uses more digits than its factorization.

125315292001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9120 (or 4560 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 31.

It can be divided in two parts, 125315 and 292001, that added together give a square (417316 = 646²).

The spelling of 125315292001 in words is "one hundred twenty-five billion, three hundred fifteen million, two hundred ninety-two thousand, one".