1007618049 has 15 divisors (see below), whose sum is σ = 1505634097. Its totient is φ = 671554908.

The previous prime is 1007618041. The next prime is 1007618057. The reversal of 1007618049 is 9408167001.

The square root of 1007618049 is 31743.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (1007618041) and next prime (1007618057).

It is not a de Polignac number, because 1007618049 - 2³ = 1007618041 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1007618041) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 283924 + ... + 287450.

Almost surely, 2^1007618049 is an apocalyptic number.

1007618049 is the 31743-rd square number.

1007618049 is the 15872-nd centered octagonal number.

It is an amenable number.

1007618049 is a deficient number, since it is larger than the sum of its proper divisors (498016048).

1007618049 is an frugal number, since it uses more digits than its factorization.

1007618049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7066 (or 3530 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The cubic root of 1007618049 is about 1002.5329285229.

Multiplying 1007618049 by its sum of digits (36), we get a square (36274249764 = 190458²).

The spelling of 1007618049 in words is "one billion, seven million, six hundred eighteen thousand, forty-nine".