4961977013 has 48 divisors (see below), whose sum is σ = 6213127680. Its totient is φ = 3941650944.

The previous prime is 4961977001. The next prime is 4961977021. The reversal of 4961977013 is 3107791694.

It is not a de Polignac number, because 4961977013 - 2¹⁶ = 4961911477 is a prime.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4961977063) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5985083 + ... + 5985911.

It is an arithmetic number, because the mean of its divisors is an integer number (129440160).

Almost surely, 2^4961977013 is an apocalyptic number.

It is an amenable number.

4961977013 is a deficient number, since it is larger than the sum of its proper divisors (1251150667).

4961977013 is a wasteful number, since it uses less digits than its factorization.

4961977013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1026 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 47.

The square root of 4961977013 is about 70441.3018973954. The cubic root of 4961977013 is about 1705.6303529474.

The spelling of 4961977013 in words is "four billion, nine hundred sixty-one million, nine hundred seventy-seven thousand, thirteen".