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55138084225 = 527267092
BaseRepresentation
bin110011010110011111…
…000110010110000001
312021022200000220010121
4303112133012112001
51400410322143400
641155144300241
73661241661100
oct632637062601
9167280026117
1055138084225
1121425013854
12a829771681
1352793b7953
142950c98037
15167a9c521a
hexcd67c6581

55138084225 has 27 divisors (see below), whose sum is σ = 79545729897. Its totient is φ = 37803336480.

The previous prime is 55138084219. The next prime is 55138084229. The reversal of 55138084225 is 52248083155.

The square root of 55138084225 is 234815.

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

55138084225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 29582721 + 55108501504 = 5439^2 + 234752^2 .

It is not a de Polignac number, because 55138084225 - 27 = 55138084097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (55138084229) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8215171 + ... + 8221879.

Almost surely, 255138084225 is an apocalyptic number.

55138084225 is the 234815-th square number.

55138084225 is the 117408-th centered octagonal number.

It is an amenable number.

55138084225 is a deficient number, since it is larger than the sum of its proper divisors (24407645672).

55138084225 is an frugal number, since it uses more digits than its factorization.

55138084225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13442 (or 6721 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 43.

The spelling of 55138084225 in words is "fifty-five billion, one hundred thirty-eight million, eighty-four thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 49 175 245 1225 6709 33545 46963 167725 234815 328741 1174075 1643705 8218525 45010681 225053405 315074767 1125267025 1575373835 2205523369 7876869175 11027616845 55138084225