1901014985529 has 135 divisors (see below), whose sum is σ = 3298851976959. Its totient is φ = 1090002782880.

The previous prime is 1901014985509. The next prime is 1901014985539. The reversal of 1901014985529 is 9255894101091.

The square root of 1901014985529 is 1378773.

It is a perfect power (a square), and thus also a powerful number.

1901014985529 is a `hidden beast` number, since 1 + 9 + 0 + 10 + 14 + 98 + 5 + 529 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1859745875625 + 41269109904 = 1363725^2 + 203148^2 .

It is not a de Polignac number, because 1901014985529 - 2²³ = 1901006596921 is a prime.

It is a super-2 number, since 2×1901014985529² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1901014985509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2593471647 + ... + 2593472379.

Almost surely, 2^{1901014985529} is an apocalyptic number.

1901014985529 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

1901014985529 is the 1378773-rd square number.

1901014985529 is the 689387-th centered octagonal number.

It is an amenable number.

1901014985529 is a deficient number, since it is larger than the sum of its proper divisors (1397836991430).

1901014985529 is an frugal number, since it uses more digits than its factorization.

1901014985529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 54.

The spelling of 1901014985529 in words is "one trillion, nine hundred one billion, fourteen million, nine hundred eighty-five thousand, five hundred twenty-nine".