57772525252 has 48 divisors (see below), whose sum is σ = 115051184640. Its totient is φ = 25182039168.

The previous prime is 57772525249. The next prime is 57772525253. The reversal of 57772525252 is 25252527775.

It is a happy number.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

57772525252 is a modest number, since divided by 525252 gives 57772 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 57772525196 and 57772525205.

It is not an unprimeable number, because it can be changed into a prime (57772525253) 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 15 ways as a sum of consecutive naturals, for example, 211243 + ... + 400210.

It is an arithmetic number, because the mean of its divisors is an integer number (2396899680).

Almost surely, 2^57772525252 is an apocalyptic number.

57772525252 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

57772525252 is a deficient number, since it is larger than the sum of its proper divisors (57278659388).

57772525252 is a wasteful number, since it uses less digits than its factorization.

57772525252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611572 (or 611570 counting only the distinct ones).

The product of its digits is 3430000, while the sum is 49.

The spelling of 57772525252 in words is "fifty-seven billion, seven hundred seventy-two million, five hundred twenty-five thousand, two hundred fifty-two".