1913759952 has 320 divisors, whose sum is σ = 5972951040. Its totient is φ = 522547200.

The previous prime is 1913759951. The next prime is 1913759963. The reversal of 1913759952 is 2599573191.

It is a junction number, because it is equal to n+sod(n) for n = 1913759895 and 1913759904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1913759951) 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, 15068913 + ... + 15069039.

It is an arithmetic number, because the mean of its divisors is an integer number (18665472).

Almost surely, 2^1913759952 is an apocalyptic number.

1913759952 is a gapful number since it is divisible by the number (12) 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 1913759952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2986475520).

1913759952 is an abundant number, since it is smaller than the sum of its proper divisors (4059191088).

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

1913759952 is a wasteful number, since it uses less digits than its factorization.

1913759952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 236 counting only the distinct ones).

The product of its digits is 765450, while the sum is 51.

The square root of 1913759952 is about 43746.5421719249. The cubic root of 1913759952 is about 1241.5450632699.

The spelling of 1913759952 in words is "one billion, nine hundred thirteen million, seven hundred fifty-nine thousand, nine hundred fifty-two".