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3513131692225 = 52172220512
BaseRepresentation
bin110011000111110110111…
…101110111000011000001
3110102212000012002001220221
4303013312331313003001
5430024343203122400
611245524352303041
7511546451450431
oct63076675670301
913385005061827
103513131692225
111134a02286981
12488a50841a81
131c639640b45c
14c20721662c1
15615b813dc1a
hex331f6f770c1

3513131692225 has 27 divisors (see below), whose sum is σ = 4627818770601. Its totient is φ = 2645061552000.

The previous prime is 3513131692207. The next prime is 3513131692237. The reversal of 3513131692225 is 5222961313153.

The square root of 3513131692225 is 1874335.

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

It can be written as a sum of positive squares in 4 ways, for example, as 82175675569 + 3430956016656 = 286663^2 + 1852284^2 .

It is not a de Polignac number, because 3513131692225 - 217 = 3513131561153 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 159307450 + ... + 159329500.

Almost surely, 23513131692225 is an apocalyptic number.

3513131692225 is the 1874335-th square number.

3513131692225 is the 937168-th centered octagonal number.

It is an amenable number.

3513131692225 is a deficient number, since it is larger than the sum of its proper divisors (1114687078376).

3513131692225 is an frugal number, since it uses more digits than its factorization.

3513131692225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44146 (or 22073 counting only the distinct ones).

The product of its digits is 291600, while the sum is 43.

The spelling of 3513131692225 in words is "three trillion, five hundred thirteen billion, one hundred thirty-one million, six hundred ninety-two thousand, two hundred twenty-five".

Divisors: 1 5 17 25 85 289 425 1445 7225 22051 110255 374867 551275 1874335 6372739 9371675 31863695 159318475 486246601 2431233005 8266192217 12156165025 41330961085 140525267689 206654805425 702626338445 3513131692225