2531513101 has 24 divisors (see below), whose sum is σ = 2927250200. Its totient is φ = 2174553216.

The previous prime is 2531513099. The next prime is 2531513111. The reversal of 2531513101 is 1013151352.

It can be written as a sum of positive squares in 4 ways, for example, as 334341225 + 2197171876 = 18285^2 + 46874^2 .

It is not a de Polignac number, because 2531513101 - 2¹ = 2531513099 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2531513111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 249475 + ... + 259423.

Almost surely, 2^2531513101 is an apocalyptic number.

It is an amenable number.

2531513101 is a deficient number, since it is larger than the sum of its proper divisors (395737099).

2531513101 is a wasteful number, since it uses less digits than its factorization.

2531513101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10045 (or 10022 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 22.

The square root of 2531513101 is about 50314.1441445644. The cubic root of 2531513101 is about 1362.8876613828.

Adding to 2531513101 its reverse (1013151352), we get a palindrome (3544664453).

It can be divided in two parts, 25315 and 13101, that added together give a 4-th power (38416 = 14⁴).

The spelling of 2531513101 in words is "two billion, five hundred thirty-one million, five hundred thirteen thousand, one hundred one".