252141055103041 has 16 divisors (see below), whose sum is σ = 278877140185168. Its totient is φ = 226453710873600.

The previous prime is 252141055103027. The next prime is 252141055103129. The reversal of 252141055103041 is 140301550141252.

It can be written as a sum of positive squares in 8 ways, for example, as 11837453113600 + 240303601989441 = 3440560^2 + 15501729^2 .

It is a cyclic number.

It is not a de Polignac number, because 252141055103041 - 2⁵ = 252141055103009 is a prime.

It is a super-2 number, since 2×252141055103041² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 252141055102988 and 252141055103006.

It is not an unprimeable number, because it can be changed into a prime (252141055103011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76952581 + ... + 80162221.

It is an arithmetic number, because the mean of its divisors is an integer number (17429821261573).

Almost surely, 2^{252141055103041} is an apocalyptic number.

It is an amenable number.

252141055103041 is a deficient number, since it is larger than the sum of its proper divisors (26736085082127).

252141055103041 is a wasteful number, since it uses less digits than its factorization.

252141055103041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3373012.

The product of its (nonzero) digits is 24000, while the sum is 34.

The spelling of 252141055103041 in words is "two hundred fifty-two trillion, one hundred forty-one billion, fifty-five million, one hundred three thousand, forty-one".