57034514761 has 27 divisors (see below), whose sum is σ = 67175152821. Its totient is φ = 48283470144.

The previous prime is 57034514749. The next prime is 57034514821. The reversal of 57034514761 is 16741543075.

The square root of 57034514761 is 238819.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 13251463225 + 43783051536 = 115115^2 + 209244^2 .

It is not a de Polignac number, because 57034514761 - 2⁵ = 57034514729 is a prime.

It is not an unprimeable number, because it can be changed into a prime (57034514741) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 182218741 + ... + 182219053.

It is an arithmetic number, because the mean of its divisors is an integer number (2487968623).

Almost surely, 2^57034514761 is an apocalyptic number.

57034514761 is the 238819-th square number.

57034514761 is the 119410-th centered octagonal number.

It is an amenable number.

57034514761 is a deficient number, since it is larger than the sum of its proper divisors (10140638060).

57034514761 is an frugal number, since it uses more digits than its factorization.

57034514761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 43.

The spelling of 57034514761 in words is "fifty-seven billion, thirty-four million, five hundred fourteen thousand, seven hundred sixty-one".