1901563560 has 512 divisors, whose sum is σ = 7489843200. Its totient is φ = 424673280.

The previous prime is 1901563541. The next prime is 1901563583. The reversal of 1901563560 is 653651091.

1901563560 is a `hidden beast` number, since 1 + 9 + 0 + 15 + 635 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7398952 + ... + 7399208.

It is an arithmetic number, because the mean of its divisors is an integer number (14628600).

Almost surely, 2^1901563560 is an apocalyptic number.

1901563560 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 1901563560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3744921600).

1901563560 is an abundant number, since it is smaller than the sum of its proper divisors (5588279640).

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

1901563560 is a wasteful number, since it uses less digits than its factorization.

1901563560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 1901563560 is about 43606.9210103167. The cubic root of 1901563560 is about 1238.9019849884.

The spelling of 1901563560 in words is "one billion, nine hundred one million, five hundred sixty-three thousand, five hundred sixty".