613131147 has 16 divisors (see below), whose sum is σ = 909652000. Its totient is φ = 408164832.

The previous prime is 613131133. The next prime is 613131151. The reversal of 613131147 is 741131316.

613131147 is a `hidden beast` number, since 613 + 1 + 3 + 1 + 1 + 47 = 666.

It is not a de Polignac number, because 613131147 - 2⁴ = 613131131 is a prime.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 613131147.

It is not an unprimeable number, because it can be changed into a prime (613131157) 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, 3129 + ... + 35157.

It is an arithmetic number, because the mean of its divisors is an integer number (56853250).

Almost surely, 2^613131147 is an apocalyptic number.

613131147 is a deficient number, since it is larger than the sum of its proper divisors (296520853).

613131147 is a wasteful number, since it uses less digits than its factorization.

613131147 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32747 (or 32741 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 613131147 is about 24761.4851533586. The cubic root of 613131147 is about 849.5412274012.

It can be divided in two parts, 613131 and 147, that added together give a triangular number (613278 = T₁₁₀₇).

The spelling of 613131147 in words is "six hundred thirteen million, one hundred thirty-one thousand, one hundred forty-seven".