4977516592125 has 864 divisors, whose sum is σ = 12225072787200. Its totient is φ = 1965360672000.

The previous prime is 4977516592117. The next prime is 4977516592127. The reversal of 4977516592125 is 5212956157794.

It is a happy number.

4977516592125 is a `hidden beast` number, since 4 + 9 + 7 + 7 + 5 + 16 + 592 + 1 + 25 = 666.

It is not a de Polignac number, because 4977516592125 - 2³ = 4977516592117 is a prime.

It is a super-2 number, since 2×4977516592125² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (47628000) is a multiple of the sum of its prime factors (252).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4977516592127) by changing a digit.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 33406151551 + ... + 33406151699.

It is an arithmetic number, because the mean of its divisors is an integer number (14149389800).

Almost surely, 2^{4977516592125} is an apocalyptic number.

4977516592125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4977516592125 is an abundant number, since it is smaller than the sum of its proper divisors (7247556195075).

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

4977516592125 is an equidigital number, since it uses as much as digits as its factorization.

4977516592125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 198 counting only the distinct ones).

The product of its digits is 47628000, while the sum is 63.

The spelling of 4977516592125 in words is "four trillion, nine hundred seventy-seven billion, five hundred sixteen million, five hundred ninety-two thousand, one hundred twenty-five".