1461511152 has 60 divisors (see below), whose sum is σ = 4095414960. Its totient is φ = 486549504.

The previous prime is 1461511147. The next prime is 1461511157. The reversal of 1461511152 is 2511151641.

1461511152 is a `hidden beast` number, since 1 + 461 + 51 + 1 + 152 = 666.

It is an interprime number because it is at equal distance from previous prime (1461511147) and next prime (1461511157).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1461511157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 114768 + ... + 126864.

It is an arithmetic number, because the mean of its divisors is an integer number (68256916).

Almost surely, 2^1461511152 is an apocalyptic number.

1461511152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1461511152 is an abundant number, since it is smaller than the sum of its proper divisors (2633903808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1461511152 is a wasteful number, since it uses less digits than its factorization.

1461511152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12950 (or 12941 counting only the distinct ones).

The product of its digits is 1200, while the sum is 27.

The square root of 1461511152 is about 38229.7155626353. The cubic root of 1461511152 is about 1134.8384568293.

Adding to 1461511152 its reverse (2511151641), we get a palindrome (3972662793).

The spelling of 1461511152 in words is "one billion, four hundred sixty-one million, five hundred eleven thousand, one hundred fifty-two".