1953001941959 has 16 divisors (see below), whose sum is σ = 2006546319360. Its totient is φ = 1899840852000.

The previous prime is 1953001941931. The next prime is 1953001941973. The reversal of 1953001941959 is 9591491003591.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1953001941959 is a prime.

It is a super-3 number, since 3×1953001941959³ (a number of 38 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1953001941559) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11769137 + ... + 11933925.

It is an arithmetic number, because the mean of its divisors is an integer number (125409144960).

Almost surely, 2^{1953001941959} is an apocalyptic number.

1953001941959 is a deficient number, since it is larger than the sum of its proper divisors (53544377401).

1953001941959 is a wasteful number, since it uses less digits than its factorization.

1953001941959 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165950.

The product of its (nonzero) digits is 1968300, while the sum is 56.

The spelling of 1953001941959 in words is "one trillion, nine hundred fifty-three billion, one million, nine hundred forty-one thousand, nine hundred fifty-nine".