2015204537241 has 315 divisors, whose sum is σ = 3751850487021. Its totient is φ = 1081787337792.

The previous prime is 2015204537231. The next prime is 2015204537261. The reversal of 2015204537241 is 1427354025102.

The square root of 2015204537241 is 1419579.

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

2015204537241 is a `hidden beast` number, since 20 + 1 + 520 + 4 + 5 + 3 + 72 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 428874363225 + 1586330174016 = 654885^2 + 1259496^2 .

It is not a de Polignac number, because 2015204537241 - 2²³ = 2015196148633 is a prime.

It is a super-2 number, since 2×2015204537241² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2015204537196 and 2015204537205.

It is not an unprimeable number, because it can be changed into a prime (2015204537231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 314 ways as a sum of consecutive naturals, for example, 54464987475 + ... + 54464987511.

Almost surely, 2^{2015204537241} is an apocalyptic number.

2015204537241 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2015204537241 is the 1419579-th square number.

2015204537241 is the 709790-th centered octagonal number.

It is an amenable number.

2015204537241 is a deficient number, since it is larger than the sum of its proper divisors (1736645949780).

2015204537241 is an frugal number, since it uses more digits than its factorization.

2015204537241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

Multiplying 2015204537241 by its sum of digits (36), we get a square (72547363340676 = 8517474²).

The spelling of 2015204537241 in words is "two trillion, fifteen billion, two hundred four million, five hundred thirty-seven thousand, two hundred forty-one".