1361525760 has 660 divisors, whose sum is σ = 5760208872. Its totient is φ = 306561024.

The previous prime is 1361525747. The next prime is 1361525771. The reversal of 1361525760 is 675251631.

1361525760 is a `hidden beast` number, since 1 + 3 + 61 + 525 + 76 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 20321247 + ... + 20321313.

Almost surely, 2^1361525760 is an apocalyptic number.

1361525760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1361525760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2880104436).

1361525760 is an abundant number, since it is smaller than the sum of its proper divisors (4398683112).

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

1361525760 is an equidigital number, since it uses as much as digits as its factorization.

1361525760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 1361525760 is about 36898.8585189298. The cubic root of 1361525760 is about 1108.3458194961.

The spelling of 1361525760 in words is "one billion, three hundred sixty-one million, five hundred twenty-five thousand, seven hundred sixty".