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252172571601 = 3972293784159
BaseRepresentation
bin1110101011011010101…
…0000001001111010001
3220002220100011221002010
43222312222001033101
513112422134242401
6311502501213133
724135033330516
oct3526652011721
9802810157063
10252172571601
1197a4492a475
1240a581011a9
131aa1a208c12
14c2c318d30d
15685d918ed6
hex3ab6a813d1

252172571601 has 16 divisors (see below), whose sum is σ = 341179865600. Its totient is φ = 165655300608.

The previous prime is 252172571557. The next prime is 252172571621. The reversal of 252172571601 is 106175271252.

252172571601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 252172571601 - 26 = 252172571537 is a prime.

It is a super-2 number, since 2×2521725716012 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 252172571601.

It is not an unprimeable number, because it can be changed into a prime (252172571621) 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 15 ways as a sum of consecutive naturals, for example, 1825441 + ... + 1958718.

It is an arithmetic number, because the mean of its divisors is an integer number (21323741600).

Almost surely, 2252172571601 is an apocalyptic number.

It is an amenable number.

252172571601 is a deficient number, since it is larger than the sum of its proper divisors (89007293999).

252172571601 is a wasteful number, since it uses less digits than its factorization.

252172571601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3784488.

The product of its (nonzero) digits is 58800, while the sum is 39.

The spelling of 252172571601 in words is "two hundred fifty-two billion, one hundred seventy-two million, five hundred seventy-one thousand, six hundred one".

Divisors: 1 3 97 229 291 687 22213 66639 3784159 11352477 367063423 866572411 1101190269 2599717233 84057523867 252172571601