901578735225 has 81 divisors (see below), whose sum is σ = 1878680777103. Its totient is φ = 412104702240.

The previous prime is 901578735203. The next prime is 901578735229. The reversal of 901578735225 is 522537875109.

The square root of 901578735225 is 949515.

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

It can be written as a sum of positive squares in only one way, i.e., 324568344681 + 577010390544 = 569709^2 + 759612^2 .

It is not a de Polignac number, because 901578735225 - 2¹¹ = 901578733177 is a prime.

It is a super-3 number, since 3×901578735225³ (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (901578735229) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 99694554 + ... + 99703596.

Almost surely, 2^901578735225 is an apocalyptic number.

901578735225 is the 949515-th square number.

901578735225 is the 474758-th centered octagonal number.

It is an amenable number.

901578735225 is an abundant number, since it is smaller than the sum of its proper divisors (977102041878).

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

901578735225 is an frugal number, since it uses more digits than its factorization.

901578735225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18116 (or 9058 counting only the distinct ones).

The product of its (nonzero) digits is 5292000, while the sum is 54.

The spelling of 901578735225 in words is "nine hundred one billion, five hundred seventy-eight million, seven hundred thirty-five thousand, two hundred twenty-five".