625430521653120 has 1024 divisors, whose sum is σ = 2339171026560000. Its totient is φ = 157494555574272.

The previous prime is 625430521652969. The next prime is 625430521653127. The reversal of 625430521653120 is 21356125034526.

625430521653120 is a `hidden beast` number, since 6 + 2 + 5 + 4 + 30 + 52 + 16 + 531 + 20 = 666.

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 (625430521653127) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 218911626732 + ... + 218911629588.

It is an arithmetic number, because the mean of its divisors is an integer number (2284346705625).

Almost surely, 2^{625430521653120} is an apocalyptic number.

625430521653120 is a gapful number since it is divisible by the number (60) 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 625430521653120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169585513280000).

625430521653120 is an abundant number, since it is smaller than the sum of its proper divisors (1713740504906880).

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

625430521653120 is a wasteful number, since it uses less digits than its factorization.

625430521653120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4820 (or 4802 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

Adding to 625430521653120 its reverse (21356125034526), we get a palindrome (646786646687646).

The spelling of 625430521653120 in words is "six hundred twenty-five trillion, four hundred thirty billion, five hundred twenty-one million, six hundred fifty-three thousand, one hundred twenty".