2137294878601 has 27 divisors (see below), whose sum is σ = 2374054065831. Its totient is φ = 1923597407424.

The previous prime is 2137294878583. The next prime is 2137294878617. The reversal of 2137294878601 is 1068784927312.

The square root of 2137294878601 is 1461949.

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

It can be written as a sum of positive squares in only one way, i.e., 1663983902025 + 473310976576 = 1289955^2 + 687976^2 .

It is not a de Polignac number, because 2137294878601 - 2⁷ = 2137294878473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2137294878671) 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, 571620190 + ... + 571623928.

Almost surely, 2^{2137294878601} is an apocalyptic number.

2137294878601 is the 1461949-th square number.

2137294878601 is the 730975-th centered octagonal number.

It is an amenable number.

2137294878601 is a deficient number, since it is larger than the sum of its proper divisors (236759187230).

2137294878601 is an frugal number, since it uses more digits than its factorization.

2137294878601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7558 (or 3779 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 58.

The spelling of 2137294878601 in words is "two trillion, one hundred thirty-seven billion, two hundred ninety-four million, eight hundred seventy-eight thousand, six hundred one".