1753225152 has 224 divisors, whose sum is σ = 5664890880. Its totient is φ = 467389440.

The previous prime is 1753225139. The next prime is 1753225153. The reversal of 1753225152 is 2515223571.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1753225153) 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, 1812573 + ... + 1813539.

Almost surely, 2^1753225152 is an apocalyptic number.

1753225152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1753225152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2832445440).

1753225152 is an abundant number, since it is smaller than the sum of its proper divisors (3911665728).

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

1753225152 is a wasteful number, since it uses less digits than its factorization.

1753225152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1079 (or 1069 counting only the distinct ones).

The product of its digits is 21000, while the sum is 33.

The square root of 1753225152 is about 41871.5315220258. The cubic root of 1753225152 is about 1205.8109706507.

The spelling of 1753225152 in words is "one billion, seven hundred fifty-three million, two hundred twenty-five thousand, one hundred fifty-two".