2912531601 has 16 divisors (see below), whose sum is σ = 4439808000. Its totient is φ = 1663679568.

The previous prime is 2912531581. The next prime is 2912531617. The reversal of 2912531601 is 1061352192.

2912531601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2912531601 - 2⁵ = 2912531569 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2912531651) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34600 + ... + 83798.

It is an arithmetic number, because the mean of its divisors is an integer number (277488000).

Almost surely, 2^2912531601 is an apocalyptic number.

2912531601 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2912531601 is a deficient number, since it is larger than the sum of its proper divisors (1527276399).

2912531601 is a wasteful number, since it uses less digits than its factorization.

2912531601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52028.

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 2912531601 is about 53967.8756391244. The cubic root of 2912531601 is about 1428.0942878644.

Adding to 2912531601 its reverse (1061352192), we get a palindrome (3973883793).

It can be divided in two parts, 29125 and 31601, that added together give a triangular number (60726 = T₃₄₈).

The spelling of 2912531601 in words is "two billion, nine hundred twelve million, five hundred thirty-one thousand, six hundred one".