10001251413 has 32 divisors (see below), whose sum is σ = 14919542400. Its totient is φ = 6621378048.

The previous prime is 10001251399. The next prime is 10001251459. The reversal of 10001251413 is 31415210001.

10001251413 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 1 + 251 + 413 = 666.

It is not a de Polignac number, because 10001251413 - 2¹⁷ = 10001120341 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001251493) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2420133 + ... + 2424261.

It is an arithmetic number, because the mean of its divisors is an integer number (466235700).

Almost surely, 2^10001251413 is an apocalyptic number.

It is an amenable number.

10001251413 is a deficient number, since it is larger than the sum of its proper divisors (4918290987).

10001251413 is a wasteful number, since it uses less digits than its factorization.

10001251413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4738 (or 4732 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 10001251413 its reverse (31415210001), we get a palindrome (41416461414).

The spelling of 10001251413 in words is "ten billion, one million, two hundred fifty-one thousand, four hundred thirteen".