76426253168521 has 9 divisors (see below), whose sum is σ = 76485212362791. Its totient is φ = 76367339408592.

The previous prime is 76426253168519. The next prime is 76426253168539. The reversal of 76426253168521 is 12586135262467.

It is a happy number.

The square root of 76426253168521 is 8742211.

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., 2164326457225 + 74261926711296 = 1471165^2 + 8617536^2 .

It is not a de Polignac number, because 76426253168521 - 2¹ = 76426253168519 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (76426253168821) 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, 15325093390 + ... + 15325098376.

It is an arithmetic number, because the mean of its divisors is an integer number (8498356929199).

Almost surely, 2^{76426253168521} is an apocalyptic number.

76426253168521 is the 8742211-st square number.

76426253168521 is the 4371106-th centered octagonal number.

It is an amenable number.

76426253168521 is a deficient number, since it is larger than the sum of its proper divisors (58959194270).

76426253168521 is an frugal number, since it uses more digits than its factorization.

76426253168521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13480 (or 6740 counting only the distinct ones).

The product of its digits is 29030400, while the sum is 58.

The spelling of 76426253168521 in words is "seventy-six trillion, four hundred twenty-six billion, two hundred fifty-three million, one hundred sixty-eight thousand, five hundred twenty-one".