2107290625801 has 9 divisors (see below), whose sum is σ = 2111740592871. Its totient is φ = 2102850025392.

The previous prime is 2107290625763. The next prime is 2107290625807. The reversal of 2107290625801 is 1085260927012.

The square root of 2107290625801 is 1451651.

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., 1570623030025 + 536667595776 = 1253245^2 + 732576^2 .

It is not a de Polignac number, because 2107290625801 - 2³³ = 2098700691209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2107290625807) 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, 852117901 + ... + 852120373.

Almost surely, 2^{2107290625801} is an apocalyptic number.

2107290625801 is the 1451651-st square number.

2107290625801 is the 725826-th centered octagonal number.

It is an amenable number.

2107290625801 is a deficient number, since it is larger than the sum of its proper divisors (4449967070).

2107290625801 is an frugal number, since it uses more digits than its factorization.

2107290625801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6120 (or 3060 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 43.

The spelling of 2107290625801 in words is "two trillion, one hundred seven billion, two hundred ninety million, six hundred twenty-five thousand, eight hundred one".