625314029824 has 81 divisors (see below), whose sum is σ = 1372277836909. Its totient is φ = 284170388480.

The previous prime is 625314029803. The next prime is 625314029911. The reversal of 625314029824 is 428920413526.

The square root of 625314029824 is 790768.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 623089209600 + 2224820224 = 789360^2 + 47168^2 .

It is a super-2 number, since 2×625314029824² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 139172922 + ... + 139177414.

Almost surely, 2^625314029824 is an apocalyptic number.

625314029824 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

625314029824 is the 790768-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 625314029824

625314029824 is an abundant number, since it is smaller than the sum of its proper divisors (746963807085).

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

625314029824 is an frugal number, since it uses more digits than its factorization.

625314029824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9024 (or 4506 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 46.

The spelling of 625314029824 in words is "six hundred twenty-five billion, three hundred fourteen million, twenty-nine thousand, eight hundred twenty-four".