1012405251 has 32 divisors (see below), whose sum is σ = 1624573440. Its totient is φ = 552556800.

The previous prime is 1012405243. The next prime is 1012405319. The reversal of 1012405251 is 1525042101.

It is not a de Polignac number, because 1012405251 - 2³ = 1012405243 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1012405351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11191 + ... + 46368.

It is an arithmetic number, because the mean of its divisors is an integer number (50767920).

Almost surely, 2^1012405251 is an apocalyptic number.

1012405251 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1012405251 is a deficient number, since it is larger than the sum of its proper divisors (612168189).

1012405251 is a wasteful number, since it uses less digits than its factorization.

1012405251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57627.

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 1012405251 is about 31818.3162816639. The cubic root of 1012405251 is about 1004.1181016264.

Adding to 1012405251 its reverse (1525042101), we get a palindrome (2537447352).

It can be divided in two parts, 101240 and 5251, that added together give a triangular number (106491 = T₄₆₁).

The spelling of 1012405251 in words is "one billion, twelve million, four hundred five thousand, two hundred fifty-one".