10072251713391 has 16 divisors (see below), whose sum is σ = 15348479927808. Its totient is φ = 5755464842400.

The previous prime is 10072251713353. The next prime is 10072251713399. The reversal of 10072251713391 is 19331715227001.

10072251713391 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10072251713391 - 2¹⁴ = 10072251697007 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10072251713399) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3324520 + ... + 5585421.

It is an arithmetic number, because the mean of its divisors is an integer number (959279995488).

Almost surely, 2^{10072251713391} is an apocalyptic number.

10072251713391 is a deficient number, since it is larger than the sum of its proper divisors (5276228214417).

10072251713391 is an equidigital number, since it uses as much as digits as its factorization.

10072251713391 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8963782.

The product of its (nonzero) digits is 79380, while the sum is 42.

The spelling of 10072251713391 in words is "ten trillion, seventy-two billion, two hundred fifty-one million, seven hundred thirteen thousand, three hundred ninety-one".