201553434 has 48 divisors (see below), whose sum is σ = 455101920. Its totient is φ = 66854160.

The previous prime is 201553409. The next prime is 201553459. The reversal of 201553434 is 434355102.

It is an interprime number because it is at equal distance from previous prime (201553409) and next prime (201553459).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 201553398 and 201553407.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110389 + ... + 112199.

It is an arithmetic number, because the mean of its divisors is an integer number (9481290).

Almost surely, 2^201553434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201553434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227550960).

201553434 is an abundant number, since it is smaller than the sum of its proper divisors (253548486).

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

201553434 is a wasteful number, since it uses less digits than its factorization.

201553434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2057 (or 2045 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 201553434 is about 14196.9515741937. The cubic root of 201553434 is about 586.3137339311.

The spelling of 201553434 in words is "two hundred one million, five hundred fifty-three thousand, four hundred thirty-four".