10249122030625 has 45 divisors (see below), whose sum is σ = 13166605713261. Its totient is φ = 7975389960000.

The previous prime is 10249122030619. The next prime is 10249122030677. The reversal of 10249122030625 is 52603022194201.

The square root of 10249122030625 is 3201425.

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

It can be written as a sum of positive squares in 22 ways, for example, as 10010180948769 + 238941081856 = 3163887^2 + 488816^2 .

It is not a de Polignac number, because 10249122030625 - 2⁹ = 10249122030113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

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, 2961316395 + ... + 2961319855.

Almost surely, 2^{10249122030625} is an apocalyptic number.

10249122030625 is the 3201425-th square number.

10249122030625 is the 1600713-rd centered octagonal number.

It is an amenable number.

10249122030625 is a deficient number, since it is larger than the sum of its proper divisors (2917483682636).

10249122030625 is an frugal number, since it uses more digits than its factorization.

10249122030625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7016 (or 3503 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The spelling of 10249122030625 in words is "ten trillion, two hundred forty-nine billion, one hundred twenty-two million, thirty thousand, six hundred twenty-five".