12503488761 has 9 divisors (see below), whose sum is σ = 18061079439. Its totient is φ = 8335435536.

The previous prime is 12503488747. The next prime is 12503488807. The reversal of 12503488761 is 16788430521.

The square root of 12503488761 is 111819.

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

12503488761 is a `hidden beast` number, since 1 + 2 + 503 + 4 + 8 + 87 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9603020025 + 2900468736 = 97995^2 + 53856^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 12503488761 - 2¹¹ = 12503486713 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12503488741) 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, 316821 + ... + 354093.

Almost surely, 2^12503488761 is an apocalyptic number.

12503488761 is the 111819-th square number.

12503488761 is the 55910-th centered octagonal number.

It is an amenable number.

12503488761 is a deficient number, since it is larger than the sum of its proper divisors (5557590678).

12503488761 is an frugal number, since it uses more digits than its factorization.

12503488761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74552 (or 37276 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

It can be divided in two parts, 12503 and 488761, that added together give a square (501264 = 708²).

The spelling of 12503488761 in words is "twelve billion, five hundred three million, four hundred eighty-eight thousand, seven hundred sixty-one".