2057516461 has 64 divisors (see below), whose sum is σ = 2879847936. Its totient is φ = 1418342400.

The previous prime is 2057516453. The next prime is 2057516471. The reversal of 2057516461 is 1646157502.

It is a happy number.

It is a 6-Lehmer number, since φ(2057516461) divides (2057516461-1)⁶.

It is a cyclic number.

It is not a de Polignac number, because 2057516461 - 2³ = 2057516453 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 2057516461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2057516431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2703321 + ... + 2704081.

It is an arithmetic number, because the mean of its divisors is an integer number (44997624).

It is a Poulet number, since it divides 2^2057516460-1.

Almost surely, 2^2057516461 is an apocalyptic number.

It is an amenable number.

2057516461 is a deficient number, since it is larger than the sum of its proper divisors (822331475).

2057516461 is a wasteful number, since it uses less digits than its factorization.

2057516461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902.

The product of its (nonzero) digits is 50400, while the sum is 37.

The square root of 2057516461 is about 45359.8551695219. The cubic root of 2057516461 is about 1271.8847871483.

It can be divided in two parts, 205751 and 6461, that added together give a palindrome (212212).

The spelling of 2057516461 in words is "two billion, fifty-seven million, five hundred sixteen thousand, four hundred sixty-one".