2507437413121 has 9 divisors (see below), whose sum is σ = 2577097791849. Its totient is φ = 2439611828784.

The previous prime is 2507437413073. The next prime is 2507437413137. The reversal of 2507437413121 is 1213147347052.

The square root of 2507437413121 is 1583489.

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 1900783358721 + 606654054400 = 1378689^2 + 778880^2 .

It is not a de Polignac number, because 2507437413121 - 2²⁵ = 2507403858689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2507437413181) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 58567695 + ... + 58610491.

Almost surely, 2^{2507437413121} is an apocalyptic number.

2507437413121 is the 1583489-th square number.

2507437413121 is the 791745-th centered octagonal number.

It is an amenable number.

2507437413121 is a deficient number, since it is larger than the sum of its proper divisors (69660378728).

2507437413121 is an frugal number, since it uses more digits than its factorization.

2507437413121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85668 (or 42834 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The spelling of 2507437413121 in words is "two trillion, five hundred seven billion, four hundred thirty-seven million, four hundred thirteen thousand, one hundred twenty-one".