725019042033 has 24 divisors (see below), whose sum is σ = 1230335346240. Its totient is φ = 405605057760.

The previous prime is 725019041987. The next prime is 725019042037. The reversal of 725019042033 is 330240910527.

725019042033 is a `hidden beast` number, since 72 + 50 + 1 + 90 + 420 + 33 = 666.

It is not a de Polignac number, because 725019042033 - 2¹⁰ = 725019041009 is a prime.

It is a super-3 number, since 3×725019042033³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (725019042037) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 281668893 + ... + 281671466.

It is an arithmetic number, because the mean of its divisors is an integer number (51263972760).

Almost surely, 2^725019042033 is an apocalyptic number.

It is an amenable number.

725019042033 is a deficient number, since it is larger than the sum of its proper divisors (505316304207).

725019042033 is a wasteful number, since it uses less digits than its factorization.

725019042033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563340389 (or 563340386 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 725019042033 in words is "seven hundred twenty-five billion, nineteen million, forty-two thousand, thirty-three".