457537252225 has 9 divisors (see below), whose sum is σ = 567350386563. Its totient is φ = 366027096120.

The previous prime is 457537252163. The next prime is 457537252283. The reversal of 457537252225 is 522252735754.

It is a happy number.

The square root of 457537252225 is 676415.

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., 164713410801 + 292823841424 = 405849^2 + 541132^2 .

It is not a de Polignac number, because 457537252225 - 2⁹ = 457537251713 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3314434 + ... + 3449716.

Almost surely, 2^457537252225 is an apocalyptic number.

457537252225 is the 676415-th square number.

457537252225 is the 338208-th centered octagonal number.

It is an amenable number.

457537252225 is a deficient number, since it is larger than the sum of its proper divisors (109813134338).

457537252225 is an frugal number, since it uses more digits than its factorization.

457537252225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270576 (or 135288 counting only the distinct ones).

The product of its digits is 5880000, while the sum is 49.

Multiplying 457537252225 by its sum of digits (49), we get a square (22419325359025 = 4734905²).

Adding to 457537252225 its reverse (522252735754), we get a palindrome (979789987979).

The spelling of 457537252225 in words is "four hundred fifty-seven billion, five hundred thirty-seven million, two hundred fifty-two thousand, two hundred twenty-five".