10072822251 has 8 divisors (see below), whose sum is σ = 13465497600. Its totient is φ = 6697680872.

The previous prime is 10072822211. The next prime is 10072822289. The reversal of 10072822251 is 15222827001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10072822251 - 2¹⁸ = 10072560107 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10072822211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4382151 + ... + 4384448.

It is an arithmetic number, because the mean of its divisors is an integer number (1683187200).

Almost surely, 2^10072822251 is an apocalyptic number.

10072822251 is a deficient number, since it is larger than the sum of its proper divisors (3392675349).

10072822251 is an equidigital number, since it uses as much as digits as its factorization.

10072822251 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8766985.

The product of its (nonzero) digits is 4480, while the sum is 30.

The spelling of 10072822251 in words is "ten billion, seventy-two million, eight hundred twenty-two thousand, two hundred fifty-one".