9957046225 has 27 divisors (see below), whose sum is σ = 14367570651. Its totient is φ = 6825294000.

The previous prime is 9957046181. The next prime is 9957046327. The reversal of 9957046225 is 5226407599.

The square root of 9957046225 is 99785.

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., 3584536641 + 6372509584 = 59871^2 + 79828^2 .

It is not a de Polignac number, because 9957046225 - 2⁷ = 9957046097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3491050 + ... + 3493900.

Almost surely, 2^9957046225 is an apocalyptic number.

9957046225 is the 99785-th square number.

9957046225 is the 49893-rd centered octagonal number.

It is an amenable number.

9957046225 is a deficient number, since it is larger than the sum of its proper divisors (4410524426).

9957046225 is an frugal number, since it uses more digits than its factorization.

9957046225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5726 (or 2863 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 49.

The cubic root of 9957046225 is about 2151.3455593759.

Multiplying 9957046225 by its sum of digits (49), we get a square (487895265025 = 698495²).

9957046225 divided by its sum of digits (49) gives a square (203205025 = 14255²).

The spelling of 9957046225 in words is "nine billion, nine hundred fifty-seven million, forty-six thousand, two hundred twenty-five".