1312523541 has 64 divisors (see below), whose sum is σ = 2261975040. Its totient is φ = 736750080.

The previous prime is 1312523521. The next prime is 1312523561. The reversal of 1312523541 is 1453252131.

1312523541 is a `hidden beast` number, since 131 + 2 + 523 + 5 + 4 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (1312523521) and next prime (1312523561).

It is not a de Polignac number, because 1312523541 - 2⁷ = 1312523413 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312523521) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3718021 + ... + 3718373.

It is an arithmetic number, because the mean of its divisors is an integer number (35343360).

Almost surely, 2^1312523541 is an apocalyptic number.

It is an amenable number.

1312523541 is a deficient number, since it is larger than the sum of its proper divisors (949451499).

1312523541 is a wasteful number, since it uses less digits than its factorization.

1312523541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 657 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 1312523541 is about 36228.7667606834. The cubic root of 1312523541 is about 1094.8863308541.

Adding to 1312523541 its reverse (1453252131), we get a palindrome (2765775672).

The spelling of 1312523541 in words is "one billion, three hundred twelve million, five hundred twenty-three thousand, five hundred forty-one".