2231507155329 has 27 divisors (see below), whose sum is σ = 3233398513033. Its totient is φ = 1483019672064.

The previous prime is 2231507155327. The next prime is 2231507155369. The reversal of 2231507155329 is 9235517051322.

The square root of 2231507155329 is 1493823.

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

2231507155329 is a `hidden beast` number, since 2 + 2 + 3 + 1 + 5 + 0 + 71 + 553 + 29 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 601442127729 + 1630065027600 = 775527^2 + 1276740^2 .

It is not a de Polignac number, because 2231507155329 - 2¹ = 2231507155327 is a prime.

It is a super-3 number, since 3×2231507155329³ (a number of 38 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2231507155327) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2012179027 + ... + 2012180135.

Almost surely, 2^{2231507155329} is an apocalyptic number.

2231507155329 is the 1493823-rd square number.

2231507155329 is the 746912-nd centered octagonal number.

It is an amenable number.

2231507155329 is a deficient number, since it is larger than the sum of its proper divisors (1001891357704).

2231507155329 is an frugal number, since it uses more digits than its factorization.

2231507155329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3122 (or 1561 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The spelling of 2231507155329 in words is "two trillion, two hundred thirty-one billion, five hundred seven million, one hundred fifty-five thousand, three hundred twenty-nine".