1521312131251 has 8 divisors (see below), whose sum is σ = 1673329047408. Its totient is φ = 1383011027200.

The previous prime is 1521312131231. The next prime is 1521312131291.

It is a happy number.

1521312131251 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1521312131251 - 2²⁷ = 1521177913523 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1521312131201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 571490830 + ... + 571493491.

It is an arithmetic number, because the mean of its divisors is an integer number (209166130926).

Almost surely, 2^{1521312131251} is an apocalyptic number.

1521312131251 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1521312131251 is a deficient number, since it is larger than the sum of its proper divisors (152016916157).

1521312131251 is an equidigital number, since it uses as much as digits as its factorization.

1521312131251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142984354 (or 1142984332 counting only the distinct ones).

The product of its digits is 1800, while the sum is 28.

The spelling of 1521312131251 in words is "one trillion, five hundred twenty-one billion, three hundred twelve million, one hundred thirty-one thousand, two hundred fifty-one".