10072076513 has 4 divisors (see below), whose sum is σ = 10664551620. Its totient is φ = 9479601408.

The previous prime is 10072076501. The next prime is 10072076537. The reversal of 10072076513 is 31567027001.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 31567027001 = 43 ⋅734116907.

It can be written as a sum of positive squares in 2 ways, for example, as 8130087889 + 1941988624 = 90167^2 + 44068^2 .

It is a cyclic number.

It is not a de Polignac number, because 10072076513 - 2²⁴ = 10055299297 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10072076513.

It is not an unprimeable number, because it can be changed into a prime (10072076563) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 296237528 + ... + 296237561.

It is an arithmetic number, because the mean of its divisors is an integer number (2666137905).

Almost surely, 2^10072076513 is an apocalyptic number.

It is an amenable number.

10072076513 is a deficient number, since it is larger than the sum of its proper divisors (592475107).

10072076513 is an equidigital number, since it uses as much as digits as its factorization.

10072076513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592475106.

The product of its (nonzero) digits is 8820, while the sum is 32.

The spelling of 10072076513 in words is "ten billion, seventy-two million, seventy-six thousand, five hundred thirteen".