57125046100 has 36 divisors (see below), whose sum is σ = 124094987100. Its totient is φ = 22825384960.

The previous prime is 57125046047. The next prime is 57125046103. The reversal of 57125046100 is 164052175.

57125046100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 12909049924 + 44215996176 = 113618^2 + 210276^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57125046103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 214555 + ... + 400354.

It is an arithmetic number, because the mean of its divisors is an integer number (3447082975).

Almost surely, 2^57125046100 is an apocalyptic number.

57125046100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

57125046100 is an abundant number, since it is smaller than the sum of its proper divisors (66969941000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

57125046100 is a wasteful number, since it uses less digits than its factorization.

57125046100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615852 (or 615845 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 31.

Adding to 57125046100 its reverse (164052175), we get a palindrome (57289098275).

The spelling of 57125046100 in words is "fifty-seven billion, one hundred twenty-five million, forty-six thousand, one hundred".