1290431193657 has 16 divisors (see below), whose sum is σ = 1744634373888. Its totient is φ = 848297376720.

The previous prime is 1290431193619. The next prime is 1290431193661. The reversal of 1290431193657 is 7563911340921.

It is a happy number.

It is not a de Polignac number, because 1290431193657 - 2²⁴ = 1290414416441 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1290431193157) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4824319 + ... + 5084772.

It is an arithmetic number, because the mean of its divisors is an integer number (109039648368).

Almost surely, 2^{1290431193657} is an apocalyptic number.

It is an amenable number.

1290431193657 is a deficient number, since it is larger than the sum of its proper divisors (454203180231).

1290431193657 is an equidigital number, since it uses as much as digits as its factorization.

1290431193657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9909700.

The product of its (nonzero) digits is 1224720, while the sum is 51.

The spelling of 1290431193657 in words is "one trillion, two hundred ninety billion, four hundred thirty-one million, one hundred ninety-three thousand, six hundred fifty-seven".