815072251 has 16 divisors (see below), whose sum is σ = 960361920. Its totient is φ = 677214720.

The previous prime is 815072239. The next prime is 815072257. The reversal of 815072251 is 152270518.

815072251 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 815072251 - 2⁹ = 815071739 is a prime.

It is not an unprimeable number, because it can be changed into a prime (815072257) 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, 36015 + ... + 54103.

It is an arithmetic number, because the mean of its divisors is an integer number (60022620).

Almost surely, 2^815072251 is an apocalyptic number.

815072251 is a deficient number, since it is larger than the sum of its proper divisors (145289669).

815072251 is a wasteful number, since it uses less digits than its factorization.

815072251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18294.

The product of its (nonzero) digits is 5600, while the sum is 31.

The square root of 815072251 is about 28549.4702402689. The cubic root of 815072251 is about 934.1114652677. Note that the first 3 decimals are identical.

The spelling of 815072251 in words is "eight hundred fifteen million, seventy-two thousand, two hundred fifty-one".