152725517460641 has 16 divisors (see below), whose sum is σ = 161758230642000. Its totient is φ = 143698239848448.

The previous prime is 152725517460617. The next prime is 152725517460673. The reversal of 152725517460641 is 146064715527251.

152725517460641 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 8 ways, for example, as 24747431153041 + 127978086307600 = 4974679^2 + 11312740^2 .

It is not a de Polignac number, because 152725517460641 - 2²⁶ = 152725450351777 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (152725517460541) 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, 771191351 + ... + 771389363.

It is an arithmetic number, because the mean of its divisors is an integer number (10109889415125).

Almost surely, 2^{152725517460641} is an apocalyptic number.

It is an amenable number.

152725517460641 is a deficient number, since it is larger than the sum of its proper divisors (9032713181359).

152725517460641 is a wasteful number, since it uses less digits than its factorization.

152725517460641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211508.

The product of its (nonzero) digits is 14112000, while the sum is 56.

The spelling of 152725517460641 in words is "one hundred fifty-two trillion, seven hundred twenty-five billion, five hundred seventeen million, four hundred sixty thousand, six hundred forty-one".