10025034131151 has 80 divisors (see below), whose sum is σ = 16223067352800. Its totient is φ = 6132772196352.

The previous prime is 10025034131113. The next prime is 10025034131153. The reversal of 10025034131151 is 15113143052001.

10025034131151 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 5 + 0 + 341 + 311 + 5 + 1 = 666.

It is not a de Polignac number, because 10025034131151 - 2³⁰ = 10023960389327 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10025034131153) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 740558655 + ... + 740572191.

It is an arithmetic number, because the mean of its divisors is an integer number (202788341910).

Almost surely, 2^{10025034131151} is an apocalyptic number.

10025034131151 is a deficient number, since it is larger than the sum of its proper divisors (6198033221649).

10025034131151 is a wasteful number, since it uses less digits than its factorization.

10025034131151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17670 (or 17661 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

Adding to 10025034131151 its reverse (15113143052001), we get a palindrome (25138177183152).

The spelling of 10025034131151 in words is "ten trillion, twenty-five billion, thirty-four million, one hundred thirty-one thousand, one hundred fifty-one".