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52151615125 = 5310119332137
BaseRepresentation
bin110000100100011110…
…100111111010010101
311222121112110112200221
4300210132213322111
51323301303141000
635542542034341
73524236262101
oct604436477225
9158545415627
1052151615125
1120132255375
12a1355789b1
134bc176017c
14274a3b4901
15155370561a
hexc247a7e95

52151615125 has 32 divisors (see below), whose sum is σ = 65794401504. Its totient is φ = 41267520000.

The previous prime is 52151615119. The next prime is 52151615129.

52151615125 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 16 ways, for example, as 31904032689 + 20247582436 = 178617^2 + 142294^2 .

It is not a de Polignac number, because 52151615125 - 211 = 52151613077 is a prime.

It is a super-2 number, since 2×521516151252 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52151615129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24403057 + ... + 24405193.

It is an arithmetic number, because the mean of its divisors is an integer number (2056075047).

Almost surely, 252151615125 is an apocalyptic number.

It is an amenable number.

52151615125 is a deficient number, since it is larger than the sum of its proper divisors (13642786379).

52151615125 is a wasteful number, since it uses less digits than its factorization.

52151615125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4186 (or 4176 counting only the distinct ones).

The product of its digits is 15000, while the sum is 34.

The spelling of 52151615125 in words is "fifty-two billion, one hundred fifty-one million, six hundred fifteen thousand, one hundred twenty-five".

Divisors: 1 5 25 101 125 505 1933 2137 2525 9665 10685 12625 48325 53425 195233 215837 241625 267125 976165 1079185 4130821 4880825 5395925 20654105 24404125 26979625 103270525 417212921 516352625 2086064605 10430323025 52151615125