Search a number
-
+
252131141261 is a prime number
BaseRepresentation
bin1110101011010000101…
…1111110011010001101
3220002210110020001100002
43222310023332122031
513112331033010021
6311454421214045
724134021224406
oct3526413763215
9802713201302
10252131141261
1197a2350221a
1240a46261325
131aa1176131c
14c2bb8869ad
156859e8350b
hex3ab42fe68d

252131141261 has 2 divisors, whose sum is σ = 252131141262. Its totient is φ = 252131141260.

The previous prime is 252131141201. The next prime is 252131141267. The reversal of 252131141261 is 162141131252.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 220800371236 + 31330770025 = 469894^2 + 177005^2 .

It is a cyclic number.

It is not a de Polignac number, because 252131141261 - 210 = 252131140237 is a prime.

It is a super-2 number, since 2×2521311412612 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (252131141267) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126065570630 + 126065570631.

It is an arithmetic number, because the mean of its divisors is an integer number (126065570631).

Almost surely, 2252131141261 is an apocalyptic number.

It is an amenable number.

252131141261 is a deficient number, since it is larger than the sum of its proper divisors (1).

252131141261 is an equidigital number, since it uses as much as digits as its factorization.

252131141261 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2880, while the sum is 29.

The spelling of 252131141261 in words is "two hundred fifty-two billion, one hundred thirty-one million, one hundred forty-one thousand, two hundred sixty-one".