5089197605625 has 135 divisors (see below), whose sum is σ = 10688112839547. Its totient is φ = 2325948912000.

The previous prime is 5089197605567. The next prime is 5089197605647. The reversal of 5089197605625 is 5265067919805.

The square root of 5089197605625 is 2255925.

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

5089197605625 is a `hidden beast` number, since 5 + 0 + 8 + 9 + 1 + 9 + 7 + 60 + 562 + 5 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 3755948652729 + 1333248952896 = 1938027^2 + 1154664^2 .

It is not a de Polignac number, because 5089197605625 - 2¹⁷ = 5089197474553 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 1184358477 + ... + 1184362773.

Almost surely, 2^{5089197605625} is an apocalyptic number.

5089197605625 is the 2255925-th square number.

5089197605625 is the 1127963-rd centered octagonal number.

It is an amenable number.

5089197605625 is an abundant number, since it is smaller than the sum of its proper divisors (5598915233922).

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

5089197605625 is an frugal number, since it uses more digits than its factorization.

5089197605625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8634 (or 4312 counting only the distinct ones).

The product of its (nonzero) digits is 40824000, while the sum is 63.

The spelling of 5089197605625 in words is "five trillion, eighty-nine billion, one hundred ninety-seven million, six hundred five thousand, six hundred twenty-five".