625351812540 has 384 divisors, whose sum is σ = 2196649082880. Its totient is φ = 129419845632.

The previous prime is 625351812539. The next prime is 625351812653. The reversal of 625351812540 is 45218153526.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 625351812492 and 625351812501.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 61709314 + ... + 61719446.

It is an arithmetic number, because the mean of its divisors is an integer number (5720440320).

Almost surely, 2^625351812540 is an apocalyptic number.

625351812540 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 625351812540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1098324541440).

625351812540 is an abundant number, since it is smaller than the sum of its proper divisors (1571297270340).

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

625351812540 is a wasteful number, since it uses less digits than its factorization.

625351812540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10381 (or 10379 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 42.

The spelling of 625351812540 in words is "six hundred twenty-five billion, three hundred fifty-one million, eight hundred twelve thousand, five hundred forty".