46257255625 has 45 divisors (see below), whose sum is σ = 67295057907. Its totient is φ = 31693452000.

The previous prime is 46257255623. The next prime is 46257255637. The reversal of 46257255625 is 52655275264.

The square root of 46257255625 is 215075.

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 6947055801 + 39310199824 = 83349^2 + 198268^2 .

It is not a de Polignac number, because 46257255625 - 2¹ = 46257255623 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (46257255623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 37637511 + ... + 37638739.

Almost surely, 2^46257255625 is an apocalyptic number.

46257255625 is the 215075-th square number.

46257255625 is the 107538-th centered octagonal number.

It is an amenable number.

46257255625 is a deficient number, since it is larger than the sum of its proper divisors (21037802282).

46257255625 is an frugal number, since it uses more digits than its factorization.

46257255625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2492 (or 1241 counting only the distinct ones).

The product of its digits is 5040000, while the sum is 49.

Multiplying 46257255625 by its sum of digits (49), we get a square (2266605525625 = 1505525²).

46257255625 divided by its sum of digits (49) gives a square (944025625 = 30725²).

The spelling of 46257255625 in words is "forty-six billion, two hundred fifty-seven million, two hundred fifty-five thousand, six hundred twenty-five".