Search a number
-
+
5137305625 = 54472612
BaseRepresentation
bin1001100100011010…
…10001000000011001
3111021000202011110201
410302031101000121
541010122240000
62205434142201
7241210243264
oct46215210031
914230664421
105137305625
1121a6969831
12bb4581961
1363b43471a
1436a403cdb
1520102996a
hex132351019

5137305625 has 45 divisors (see below), whose sum is σ = 6668358411. Its totient is φ = 3956460000.

The previous prime is 5137305611. The next prime is 5137305629. The reversal of 5137305625 is 5265037315.

The square root of 5137305625 is 71675.

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

It can be written as a sum of positive squares in 7 ways, for example, as 5083547401 + 53758224 = 71299^2 + 7332^2 .

It is not a de Polignac number, because 5137305625 - 213 = 5137297433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5137305629) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 84218095 + ... + 84218155.

Almost surely, 25137305625 is an apocalyptic number.

5137305625 is the 71675-th square number.

5137305625 is the 35838-th centered octagonal number.

It is an amenable number.

5137305625 is a deficient number, since it is larger than the sum of its proper divisors (1531052786).

5137305625 is an frugal number, since it uses more digits than its factorization.

5137305625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 94500, while the sum is 37.

The cubic root of 5137305625 is about 1725.4874348909.

The spelling of 5137305625 in words is "five billion, one hundred thirty-seven million, three hundred five thousand, six hundred twenty-five".

Divisors: 1 5 25 47 61 125 235 305 625 1175 1525 2209 2867 3721 5875 7625 11045 14335 18605 29375 38125 55225 71675 93025 134749 174887 276125 358375 465125 673745 874435 1380625 1791875 2325625 3368725 4372175 8219689 16843625 21860875 41098445 84218125 109304375 205492225 1027461125 5137305625