57015410841 has 45 divisors (see below), whose sum is σ = 87339512271. Its totient is φ = 37066141728.

The previous prime is 57015410807. The next prime is 57015410891. The reversal of 57015410841 is 14801451075.

The square root of 57015410841 is 238779.

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

57015410841 is a `hidden beast` number, since 5 + 70 + 1 + 541 + 0 + 8 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1651203225 + 55364207616 = 40635^2 + 235296^2 .

It is not a de Polignac number, because 57015410841 - 2⁹ = 57015410329 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 57015410796 and 57015410805.

It is not an unprimeable number, because it can be changed into a prime (57015410801) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 92407165 + ... + 92407781.

Almost surely, 2^57015410841 is an apocalyptic number.

57015410841 is the 238779-th square number.

57015410841 is the 119390-th centered octagonal number.

It is an amenable number.

57015410841 is a deficient number, since it is larger than the sum of its proper divisors (30324101430).

57015410841 is an frugal number, since it uses more digits than its factorization.

57015410841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

Multiplying 57015410841 by its sum of digits (36), we get a square (2052554790276 = 1432674²).

It can be divided in two parts, 57015 and 410841, that added together give a square (467856 = 684²).

The spelling of 57015410841 in words is "fifty-seven billion, fifteen million, four hundred ten thousand, eight hundred forty-one".