1007117077 has 24 divisors (see below), whose sum is σ = 1136308824. Its totient is φ = 889135104.

The previous prime is 1007117051. The next prime is 1007117093. The reversal of 1007117077 is 7707117001.

It can be written as a sum of positive squares in 4 ways, for example, as 75585636 + 931531441 = 8694^2 + 30521^2 .

It is not a de Polignac number, because 1007117077 - 2¹¹ = 1007115029 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007117777) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 475573 + ... + 477685.

It is an arithmetic number, because the mean of its divisors is an integer number (47346201).

Almost surely, 2^1007117077 is an apocalyptic number.

1007117077 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

1007117077 is a deficient number, since it is larger than the sum of its proper divisors (129191747).

1007117077 is a wasteful number, since it uses less digits than its factorization.

1007117077 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2229 (or 2206 counting only the distinct ones).

The product of its (nonzero) digits is 2401, while the sum is 31.

The square root of 1007117077 is about 31735.1079563313. The cubic root of 1007117077 is about 1002.3667530608.

The spelling of 1007117077 in words is "one billion, seven million, one hundred seventeen thousand, seventy-seven".