49628700625 has 135 divisors (see below), whose sum is σ = 77291172189. Its totient is φ = 31758804000.

The previous prime is 49628700607. The next prime is 49628700643. The reversal of 49628700625 is 52600782694.

The square root of 49628700625 is 222775.

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

It is an interprime number because it is at equal distance from previous prime (49628700607) and next prime (49628700643).

It can be written as a sum of positive squares in 2 ways, for example, as 3890890129 + 45737810496 = 62377^2 + 213864^2 .

It is not a de Polignac number, because 49628700625 - 2⁷ = 49628700497 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 740726842 + ... + 740726908.

Almost surely, 2^49628700625 is an apocalyptic number.

49628700625 is the 222775-th square number.

49628700625 is the 111388-th centered octagonal number.

It is an amenable number.

49628700625 is a deficient number, since it is larger than the sum of its proper divisors (27662471564).

49628700625 is an frugal number, since it uses more digits than its factorization.

49628700625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 49.

Multiplying 49628700625 by its sum of digits (49), we get a square (2431806330625 = 1559425²).

49628700625 divided by its sum of digits (49) gives a square (1012830625 = 31825²).

The spelling of 49628700625 in words is "forty-nine billion, six hundred twenty-eight million, seven hundred thousand, six hundred twenty-five".