151253321569 has 15 divisors (see below), whose sum is σ = 176473943507. Its totient is φ = 129629369856.

The previous prime is 151253321567. The next prime is 151253321573. The reversal of 151253321569 is 965123352151.

The square root of 151253321569 is 388913.

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

151253321569 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., 150036149025 + 1217172544 = 387345^2 + 34888^2 .

It is not a de Polignac number, because 151253321569 - 2¹ = 151253321567 is a prime.

It is a super-2 number, since 2×151253321569² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (151253321561) 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 14 ways as a sum of consecutive naturals, for example, 19052769 + ... + 19060705.

Almost surely, 2^151253321569 is an apocalyptic number.

151253321569 is the 388913-rd square number.

151253321569 is the 194457-th centered octagonal number.

It is an amenable number.

151253321569 is a deficient number, since it is larger than the sum of its proper divisors (25220621938).

151253321569 is an frugal number, since it uses more digits than its factorization.

151253321569 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15902 (or 7944 counting only the distinct ones).

The product of its digits is 243000, while the sum is 43.

The spelling of 151253321569 in words is "one hundred fifty-one billion, two hundred fifty-three million, three hundred twenty-one thousand, five hundred sixty-nine".