1972135633035 has 128 divisors (see below), whose sum is σ = 3524276183040. Its totient is φ = 937449676800.

The previous prime is 1972135633033. The next prime is 1972135633057. The reversal of 1972135633035 is 5303365312791.

It is not a de Polignac number, because 1972135633035 - 2¹ = 1972135633033 is a prime.

It is a super-2 number, since 2×1972135633035² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1972135633033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 612272725 + ... + 612275945.

It is an arithmetic number, because the mean of its divisors is an integer number (27533407680).

Almost surely, 2^{1972135633035} is an apocalyptic number.

1972135633035 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1972135633035 is a deficient number, since it is larger than the sum of its proper divisors (1552140550005).

1972135633035 is a wasteful number, since it uses less digits than its factorization.

1972135633035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5189.

The product of its (nonzero) digits is 1530900, while the sum is 48.

The spelling of 1972135633035 in words is "one trillion, nine hundred seventy-two billion, one hundred thirty-five million, six hundred thirty-three thousand, thirty-five".