625405133364120 has 128 divisors (see below), whose sum is σ = 2088334714752000. Its totient is φ = 166482627281280.

The previous prime is 625405133364103. The next prime is 625405133364127. The reversal of 625405133364120 is 21463331504526.

625405133364120 is a `hidden beast` number, since 6 + 2 + 5 + 4 + 0 + 513 + 3 + 3 + 6 + 4 + 120 = 666.

625405133364120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×625405133364120² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (625405133364127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 506457600 + ... + 507690959.

It is an arithmetic number, because the mean of its divisors is an integer number (16315114959000).

Almost surely, 2^{625405133364120} is an apocalyptic number.

625405133364120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

625405133364120 is an abundant number, since it is smaller than the sum of its proper divisors (1462929581387880).

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

625405133364120 is a wasteful number, since it uses less digits than its factorization.

625405133364120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014149150 (or 1014149140 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

Adding to 625405133364120 its reverse (21463331504526), we get a palindrome (646868464868646).

The spelling of 625405133364120 in words is "six hundred twenty-five trillion, four hundred five billion, one hundred thirty-three million, three hundred sixty-four thousand, one hundred twenty".