501013399329 has 135 divisors (see below), whose sum is σ = 805399136289. Its totient is φ = 310366229040.

The previous prime is 501013399309. The next prime is 501013399349. The reversal of 501013399329 is 923993310105.

It is a happy number.

The square root of 501013399329 is 707823.

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

501013399329 is a `hidden beast` number, since 501 + 0 + 1 + 3 + 39 + 93 + 29 = 666.

It is an interprime number because it is at equal distance from previous prime (501013399309) and next prime (501013399349).

It is not a de Polignac number, because 501013399329 - 2⁵ = 501013399297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (501013399309) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 8491752502 + ... + 8491752560.

Almost surely, 2^501013399329 is an apocalyptic number.

501013399329 is a gapful number since it is divisible by the number (59) formed by its first and last digit.

501013399329 is the 707823-rd square number.

501013399329 is the 353912-nd centered octagonal number.

It is an amenable number.

501013399329 is a deficient number, since it is larger than the sum of its proper divisors (304385736960).

501013399329 is an frugal number, since it uses more digits than its factorization.

501013399329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 196830, while the sum is 45.

The spelling of 501013399329 in words is "five hundred one billion, thirteen million, three hundred ninety-nine thousand, three hundred twenty-nine".