152249711780401 has 9 divisors (see below), whose sum is σ = 153097763484459. Its totient is φ = 151406332140600.

The previous prime is 152249711780329. The next prime is 152249711780429. The reversal of 152249711780401 is 104087117942251.

The square root of 152249711780401 is 12338951.

It is a perfect power (a square), and thus also a powerful number.

152249711780401 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 only one way, i.e., 1677669972001 + 150572041808400 = 1295249^2 + 12270780^2 .

It is not a de Polignac number, because 152249711780401 - 2⁷ = 152249711780273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (152249711780471) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2233316046 + ... + 2233384216.

Almost surely, 2^{152249711780401} is an apocalyptic number.

152249711780401 is the 12338951-st square number.

152249711780401 is the 6169476-th centered octagonal number.

It is an amenable number.

152249711780401 is a deficient number, since it is larger than the sum of its proper divisors (848051704058).

152249711780401 is an frugal number, since it uses more digits than its factorization.

152249711780401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136704 (or 68352 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 52.

The spelling of 152249711780401 in words is "one hundred fifty-two trillion, two hundred forty-nine billion, seven hundred eleven million, seven hundred eighty thousand, four hundred one".