1151361567 has 64 divisors (see below), whose sum is σ = 1897689600. Its totient is φ = 686568960.

The previous prime is 1151361539. The next prime is 1151361571. The reversal of 1151361567 is 7651631511.

1151361567 is a `hidden beast` number, since 11 + 51 + 36 + 1 + 567 = 666.

It is not a de Polignac number, because 1151361567 - 2¹¹ = 1151359519 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1151361517) 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, 891192 + ... + 892482.

It is an arithmetic number, because the mean of its divisors is an integer number (29651400).

Almost surely, 2^1151361567 is an apocalyptic number.

1151361567 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

1151361567 is a deficient number, since it is larger than the sum of its proper divisors (746328033).

1151361567 is a wasteful number, since it uses less digits than its factorization.

1151361567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1413 (or 1407 counting only the distinct ones).

The product of its digits is 18900, while the sum is 36.

The square root of 1151361567 is about 33931.7191872148. The cubic root of 1151361567 is about 1048.1028682191.

The spelling of 1151361567 in words is "one billion, one hundred fifty-one million, three hundred sixty-one thousand, five hundred sixty-seven".