612345375625 has 45 divisors (see below), whose sum is σ = 774815402361. Its totient is φ = 483788256000.

The previous prime is 612345375493. The next prime is 612345375659. The reversal of 612345375625 is 526573543216.

It is a happy number.

The square root of 612345375625 is 782525.

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

It can be written as a sum of positive squares in 22 ways, for example, as 45944636409 + 566400739216 = 214347^2 + 752596^2 .

It is not a de Polignac number, because 612345375625 - 2²⁵ = 612311821193 is a prime.

It is a Duffinian number.

Its product of digits (4536000) is a multiple of the sum of its prime factors (800).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2210632987 + ... + 2210633263.

Almost surely, 2^612345375625 is an apocalyptic number.

612345375625 is the 782525-th square number.

612345375625 is the 391263-rd centered octagonal number.

It is an amenable number.

612345375625 is a deficient number, since it is larger than the sum of its proper divisors (162470026736).

612345375625 is an frugal number, since it uses more digits than its factorization.

612345375625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 395 counting only the distinct ones).

The product of its digits is 4536000, while the sum is 49.

Multiplying 612345375625 by its sum of digits (49), we get a square (30004923405625 = 5477675²).

The spelling of 612345375625 in words is "six hundred twelve billion, three hundred forty-five million, three hundred seventy-five thousand, six hundred twenty-five".