1961217252 has 24 divisors (see below), whose sum is σ = 5084637600. Its totient is φ = 653739048.

The previous prime is 1961217241. The next prime is 1961217277. The reversal of 1961217252 is 2527121691.

1961217252 is a `hidden beast` number, since 1 + 9 + 612 + 17 + 25 + 2 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9079602 + ... + 9079817.

It is an arithmetic number, because the mean of its divisors is an integer number (211859900).

Almost surely, 2^1961217252 is an apocalyptic number.

1961217252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1961217252 is an abundant number, since it is smaller than the sum of its proper divisors (3123420348).

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

1961217252 is a wasteful number, since it uses less digits than its factorization.

1961217252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18159432 (or 18159424 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 1961217252 is about 44285.6325685882. The cubic root of 1961217252 is about 1251.7239683468.

It can be divided in two parts, 19612 and 17252, that added together give a square (36864 = 192²).

The spelling of 1961217252 in words is "one billion, nine hundred sixty-one million, two hundred seventeen thousand, two hundred fifty-two".