2431125525312 has 168 divisors, whose sum is σ = 7604337730080. Its totient is φ = 736465720320.

The previous prime is 2431125525307. The next prime is 2431125525403. The reversal of 2431125525312 is 2135255211342.

2431125525312 is a `hidden beast` number, since 2 + 4 + 3 + 1 + 125 + 525 + 3 + 1 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19980114 + ... + 20101422.

It is an arithmetic number, because the mean of its divisors is an integer number (45263915060).

Almost surely, 2^{2431125525312} is an apocalyptic number.

2431125525312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2431125525312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3802168865040).

2431125525312 is an abundant number, since it is smaller than the sum of its proper divisors (5173212204768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2431125525312 is a wasteful number, since it uses less digits than its factorization.

2431125525312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124501 (or 124488 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The spelling of 2431125525312 in words is "two trillion, four hundred thirty-one billion, one hundred twenty-five million, five hundred twenty-five thousand, three hundred twelve".