10402225251 has 96 divisors (see below), whose sum is σ = 16933432320. Its totient is φ = 5624524800.

The previous prime is 10402225189. The next prime is 10402225261. The reversal of 10402225251 is 15252220401.

It is not a de Polignac number, because 10402225251 - 2¹⁰ = 10402224227 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10402225261) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14467270 + ... + 14467988.

It is an arithmetic number, because the mean of its divisors is an integer number (176389920).

Almost surely, 2^10402225251 is an apocalyptic number.

10402225251 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10402225251 is a deficient number, since it is larger than the sum of its proper divisors (6531207069).

10402225251 is a wasteful number, since it uses less digits than its factorization.

10402225251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

Adding to 10402225251 its reverse (15252220401), we get a palindrome (25654445652).

The spelling of 10402225251 in words is "ten billion, four hundred two million, two hundred twenty-five thousand, two hundred fifty-one".