481515251569 has 27 divisors (see below), whose sum is σ = 533625181131. Its totient is φ = 434167485840.

The previous prime is 481515251561. The next prime is 481515251573. The reversal of 481515251569 is 965152515184.

The square root of 481515251569 is 693913.

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

It can be written as a sum of positive squares in only one way, i.e., 26953430625 + 454561820944 = 164175^2 + 674212^2 .

It is not a de Polignac number, because 481515251569 - 2³ = 481515251561 is a prime.

It is a super-2 number, since 2×481515251569² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (481515251561) 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 26 ways as a sum of consecutive naturals, for example, 1518975399 + ... + 1518975715.

Almost surely, 2^481515251569 is an apocalyptic number.

481515251569 is the 693913-rd square number.

481515251569 is the 346957-th centered octagonal number.

It is an amenable number.

481515251569 is a deficient number, since it is larger than the sum of its proper divisors (52109929562).

481515251569 is an frugal number, since it uses more digits than its factorization.

481515251569 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 527 counting only the distinct ones).

The product of its digits is 2160000, while the sum is 52.

The spelling of 481515251569 in words is "four hundred eighty-one billion, five hundred fifteen million, two hundred fifty-one thousand, five hundred sixty-nine".