319746142521 has 99 divisors (see below), whose sum is σ = 522265645839. Its totient is φ = 195667600752.

The previous prime is 319746142493. The next prime is 319746142549. The reversal of 319746142521 is 125241647913.

The square root of 319746142521 is 565461.

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

319746142521 is a `hidden beast` number, since 3 + 1 + 9 + 7 + 4 + 614 + 2 + 5 + 21 = 666.

It is an interprime number because it is at equal distance from previous prime (319746142493) and next prime (319746142549).

It can be written as a sum of positive squares in only one way, i.e., 47299725225 + 272446417296 = 217485^2 + 521964^2 .

It is not a de Polignac number, because 319746142521 - 2²³ = 319737753913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (319746142561) by changing a digit.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 1786291210 + ... + 1786291388.

Almost surely, 2^319746142521 is an apocalyptic number.

319746142521 is the 565461-st square number.

319746142521 is the 282731-st centered octagonal number.

It is an amenable number.

319746142521 is a deficient number, since it is larger than the sum of its proper divisors (202519503318).

319746142521 is an frugal number, since it uses more digits than its factorization.

319746142521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 195 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The spelling of 319746142521 in words is "three hundred nineteen billion, seven hundred forty-six million, one hundred forty-two thousand, five hundred twenty-one".