906137977731 has 32 divisors (see below), whose sum is σ = 1407443558400. Its totient is φ = 507835662240.

The previous prime is 906137977639. The next prime is 906137977753. The reversal of 906137977731 is 137779731609.

It is not a de Polignac number, because 906137977731 - 2¹⁰ = 906137976707 is a prime.

It is a super-2 number, since 2×906137977731² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (906137973731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 314421 + ... + 1382438.

It is an arithmetic number, because the mean of its divisors is an integer number (43982611200).

Almost surely, 2^906137977731 is an apocalyptic number.

906137977731 is a deficient number, since it is larger than the sum of its proper divisors (501305580669).

906137977731 is a wasteful number, since it uses less digits than its factorization.

906137977731 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1697359.

The product of its (nonzero) digits is 10501974, while the sum is 60.

The spelling of 906137977731 in words is "nine hundred six billion, one hundred thirty-seven million, nine hundred seventy-seven thousand, seven hundred thirty-one".