1012040757 has 144 divisors (see below), whose sum is σ = 1994489280. Its totient is φ = 502625088.

The previous prime is 1012040749. The next prime is 1012040759. The reversal of 1012040757 is 7570402101.

It is not a de Polignac number, because 1012040757 - 2³ = 1012040749 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1012040757.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012040759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6208758 + ... + 6208920.

It is an arithmetic number, because the mean of its divisors is an integer number (13850620).

Almost surely, 2^1012040757 is an apocalyptic number.

It is an amenable number.

1012040757 is a deficient number, since it is larger than the sum of its proper divisors (982448523).

1012040757 is a wasteful number, since it uses less digits than its factorization.

1012040757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 1012040757 is about 31812.5880273831. The cubic root of 1012040757 is about 1003.9975836966.

Adding to 1012040757 its reverse (7570402101), we get a palindrome (8582442858).

The spelling of 1012040757 in words is "one billion, twelve million, forty thousand, seven hundred fifty-seven".