536101540 has 96 divisors (see below), whose sum is σ = 1268880480. Its totient is φ = 188891136.

The previous prime is 536101529. The next prime is 536101541. The reversal of 536101540 is 45101635.

It can be written as a sum of positive squares in 16 ways, for example, as 64256256 + 471845284 = 8016^2 + 21722^2 .

It is a super-3 number, since 3×536101540³ (a number of 27 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 (536101541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 731014 + ... + 731746.

It is an arithmetic number, because the mean of its divisors is an integer number (13217505).

Almost surely, 2^536101540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 536101540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634440240).

536101540 is an abundant number, since it is smaller than the sum of its proper divisors (732778940).

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

536101540 is a wasteful number, since it uses less digits than its factorization.

536101540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 536101540 is about 23153.8666317313. The cubic root of 536101540 is about 812.3609115760.

The spelling of 536101540 in words is "five hundred thirty-six million, one hundred one thousand, five hundred forty".