1122553152 has 252 divisors, whose sum is σ = 3866668416. Its totient is φ = 310141440.

The previous prime is 1122553139. The next prime is 1122553153. The reversal of 1122553152 is 2513552211.

1122553152 is a `hidden beast` number, since 1 + 122 + 5 + 531 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122553153) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 874303 + ... + 875585.

Almost surely, 2^1122553152 is an apocalyptic number.

1122553152 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 1122553152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1933334208).

1122553152 is an abundant number, since it is smaller than the sum of its proper divisors (2744115264).

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

1122553152 is a wasteful number, since it uses less digits than its factorization.

1122553152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346 (or 1326 counting only the distinct ones).

The product of its digits is 3000, while the sum is 27.

The square root of 1122553152 is about 33504.5243511977. The cubic root of 1122553152 is about 1039.2873421390.

The spelling of 1122553152 in words is "one billion, one hundred twenty-two million, five hundred fifty-three thousand, one hundred fifty-two".