5103193950625 has 45 divisors (see below), whose sum is σ = 6443764960941. Its totient is φ = 4040221032000.

The previous prime is 5103193950611. The next prime is 5103193950637. The reversal of 5103193950625 is 5260593913015.

The square root of 5103193950625 is 2259025.

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 5103049374049 + 144576576 = 2258993^2 + 12024^2 .

It is not a de Polignac number, because 5103193950625 - 2⁵ = 5103193950593 is a prime.

It is a Duffinian number.

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, 6155842711 + ... + 6155843539.

Almost surely, 2^{5103193950625} is an apocalyptic number.

5103193950625 is the 2259025-th square number.

5103193950625 is the 1129513-rd centered octagonal number.

It is an amenable number.

5103193950625 is a deficient number, since it is larger than the sum of its proper divisors (1340571010316).

5103193950625 is an frugal number, since it uses more digits than its factorization.

5103193950625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1896 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 1093500, while the sum is 49.

Multiplying 5103193950625 by its sum of digits (49), we get a square (250056503580625 = 15813175²).

The spelling of 5103193950625 in words is "five trillion, one hundred three billion, one hundred ninety-three million, nine hundred fifty thousand, six hundred twenty-five".