980777511 has 64 divisors (see below), whose sum is σ = 1764172800. Its totient is φ = 526030848.

The previous prime is 980777509. The next prime is 980777513. The reversal of 980777511 is 115777089.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (980777509) and next prime (980777513).

It is not a de Polignac number, because 980777511 - 2¹ = 980777509 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (980777513) 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, 404575 + ... + 406991.

It is an arithmetic number, because the mean of its divisors is an integer number (27565200).

Almost surely, 2^980777511 is an apocalyptic number.

980777511 is a deficient number, since it is larger than the sum of its proper divisors (783395289).

980777511 is a wasteful number, since it uses less digits than its factorization.

980777511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2565 (or 2559 counting only the distinct ones).

The product of its (nonzero) digits is 123480, while the sum is 45.

The square root of 980777511 is about 31317.3675617859. The cubic root of 980777511 is about 993.5510035146.

The spelling of 980777511 in words is "nine hundred eighty million, seven hundred seventy-seven thousand, five hundred eleven".